Given f(x) = x 5(x 3 16) 1/2: Determine an appropriate substitution to change ∫() ∫zf(x) dx to a du-integral. Include both u and du. (Use sp.rational(a,b) to input a fraction /a/b in the exponent.)
a) =3+16u=x 3+16, =32du=3x 2dx
b) =3+16u=x 3+16, =34du=3x 4dx
c) =5u=x 5, =54du=5x 4dx
d) =3+16u=x 3+16, =54du=5x 4dx